For a local field K, we study the affine buildings Ξ n and Δ n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Δ n in Ξ 2 n ....
At the heart of computer games and computer generated films lies 3D content creation. A student wanting to learn how to create and edit 3D meshes can quickly find thousands of videos explaining the workflow process. These videos are a popular...
We begin with a result on the refocussing of null geodesics in space-times. We show that all oriented refocussing 2-dimensional Lorentz manifolds are also strongly refocussing. We also introduce a theory of virtual Legendrian knots. We show that...
Networks that model relationships in the real world have attracted much attention in the past few years. The "link prediction problem" plays a central role in the network area. In this thesis, we explore the link prediction problem in a...
An interval order is an ordered set whose elements are in correspondence with a collection of intervals in a linearly ordered set, with disjoint intervals ordered by their relative position. The order complex of an ordered set is the simplicial...
The brain is a vastly interconnected information processing network. In humans, this network supports the rich mental space at the root of the imagination and enables many flexible cognitive abilities such as scientific and artistic creativity. How...
In this thesis we study 1=k-geodesics, those closed geodesics that minimize on any subinterval of length L=k, where L is the length of the geodesic. These curves arise as critical points of the uniform energy, a function introduced in Morse theory...
In this thesis, we study the dynamics of magnetic flows on compact nilmanifolds. Magnetic flows are generalizations of geodesic flows. They model the motion of a particle of unit mass and unit charge in a smooth manifold M in the presence of a...
How the genome is shaped directly influences how it is expressed. In fact, the genome is organized at many different levels, each imparting specific regulation over transcription. Fundamental principles regulating genome organization are poorly...
Mitomycin C -- Mechanism of action. ; Xeroderma pigmentosum. ; DNA -- Effect of mitomycin C on. ; DNA-protein interactions -- Effect of mitomycin C on. ; DNA repair. ; Arsenic -- Physiological effect. ; Cadmium -- Physiological effect.
Despite the fact that numerous chemically and structurally diverse DNA lesions are repaired by nucleotide excision repair (NER), the mechanism of the interaction of XPA with damaged DNA is not well characterized. The overall goal of this study was...
Motivated by the goal of investigating the dynamics of the electroweak phase transition in the early Universe, a study of dynamical aspects of nonlinear field-theoretical systems is performed. Symmetric and asymmetric double-well potentials in the...
This thesis focuses on the emergence of universal dynamical scaling in quantum critical spin systems driven out of equilibrium, with emphasis on quench dynamics which involves isolated standard critical points, multi-critical points, and...
The demand for novel molecularly targeted drugs will continue to rise as we make progress toward personalizing cancer treatments to the molecular signatures of individual tumors. While the collection and analysis of genomic data has become routine,...
Accurate chromosome segregation in human oocytes requires that meiotic sister chromatid cohesion remain intact for decades and work in model organisms indicates that deterioration of meiotic cohesion over time may be a major determinant of...
Genome-wide association studies (GWAS) have identified more than 8,900 genetic variants, mainly single nucleotide polymorphisms (SNPs), associated with hundreds of human traits and diseases, which define risk-associated loci (Hindorff et al., 2012 ...
Breast cancer is the most common cancer in women. The discovery of breast tumor subtypes and the subsequent development of treatments aimed at them has allowed a reduction in the mortality of breast cancer. However, tumors with similar...
Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
Yeast vacuole fusion involves three transmembrane SNAREs and a unique soluble SNARE, Vam7p. This SNARE cycles between vacuolar membrane-bound and cytosolic state. In its membrane-bound state, it is able to participate in vacuolar fusion by...
Although genome-wide association studies (GWAS) and other high-throughput initiatives have led to an information explosion in human genetics and genetic epidemiology, the mapping from genotype to phenotype remains challenging as most of the...
This thesis constitutes the first steps in the author's program to investigate the question of when a homotopy of 2-cocycles ω = {ω[subscript t]}[subscript t∊[0,1]] on a locally compact Hausdorff groupoid Ɠ induces an isomorphism of the...
The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
In this thesis, we characterize and enumerate the permutations which are realized by the orbits of signed shifts, a family of discrete dynamical systems on words. The permutations, which are called patterns of the signed shifts, are given by the...
The multisubunit eukaryotic Mediator complex integrates diverse positive and negative gene regulatory signals and transmits them to the core transcription machinery. It is also involved in chromatin structure related epigenetic silencing through...
Robustness to genetic perturbations is a fundamental property of all living things. The genetic code is degenerate, RNA secondary structure is robust to sequence changes, and protein structure is robust to amino acid substitutions. Complex systems...
G protein coupled receptors (GPCRs) make up somewhere between 30-50% of all current drug targets, yet the structural characterization of these receptors has been moderate at best. Until recently, structural data were almost nonexistent and...
Digital integrated circuits -- Testing. Digital integrated circuits -- Testing -- Mathematical models. Digital integrated circuits -- Design and construction.
Quantitative Risk Analysis of Computer Networks (QSRA) addresses the problem of risk opacity of software in networks. It allows risk managers to get a detailed and comprehensive snapshot of the constitutive software on the network, assess its risk...